use long division to convert 2/9 to a decimal. your approximate should have one decimal place
To convert 2/9 to a decimal using long division, follow these steps:
1. Write the fraction 2/9 as a division problem: 2 ÷ 9.
0.2
___________
9 | 2.0 0 0 0 0 0...
2. Start by dividing the first digit of the dividend (2) by the divisor (9): 2 ÷ 9 = 0.2.
3. Multiply 0.2 by 9: 0.2 * 9 = 1.8.
4. Subtract 1.8 from 2 to get the remainder: 2 - 1.8 = 0.2.
5. Bring down the next digit (0) to the right of the remainder (0.2).
6. Divide 0.20 by 9: 0.20 ÷ 9 = 0.02222...
0.22
___________
9 | 2.0 0 0 0 0 0...
1.8
___________
20
18
___________
20
18
___________
20
18
___________
20
18
7. Repeat steps 3 to 6 until you reach the desired decimal place.
After one iteration, we obtain 0.2 as the approximate decimal for 2/9, rounded to one decimal place.
To convert 2/9 to a decimal using long division, follow the steps below:
1. Place the dividend, which is 2, inside the long division symbol (÷), and the divisor, which is 9, outside of it.
2 | 0.0
2. Since 2 is less than the divisor 9, add a decimal point after the 0 in the dividend, along with a zero after the decimal point to make it 20.
2 | 0.0
9
-----
3. Divide 9 into 20. The result is 2 with a remainder of 2.
2 | 0.0
9
-----
18
-----
20
4. Since there is a remainder of 2, bring down the next digit, which is a zero, beside it.
2 | 0.0
9
-----
18
-----
20
18
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5. Divide 9 into 20. The result is 2 with a remainder of 2.
2 | 0.0
9
-----
18
-----
20
18
-----
20
18
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6. Repeat the process, bringing down another zero.
2 | 0.0
9
-----
18
-----
20
18
-----
20
18
-----
20
18
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7. Keep repeating this process until the desired decimal approximation is obtained. Since it was specified that the decimal should have one decimal place, we can stop here.
2 | 0.2
9
-----
18
-----
20
18
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20
18
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20
18
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2
The decimal approximation of 2/9 to one decimal place is 0.2.
To convert the fraction 2/9 into a decimal using long division, follow these steps:
Step 1: Set up the division.
Write the fraction 2/9 as a long division problem, with 2 as the dividend and 9 as the divisor. Place a decimal point above the division bar and add a zero after the decimal point.
0.2 | 2
-
Step 2: Divide.
Divide 2 by 9. The quotient will provide the whole number part of the decimal, and the remainder will be used to find the decimal part.
0.2 | 2
- 1
Step 3: Multiply and subtract.
Multiply the remainder (1) by 10 and write the result below the subtraction line. Subtract the result from the previous remainder.
0.2 | 2
- 1
_
10
0.2 | 2
- 1
_
10
- 9
Step 4: Repeat until desired precision.
Repeat steps 2 and 3 until you reach the desired level of precision. In this case, since you want the answer with one decimal place, you will stop after one repetition.
0.2 | 2
- 1
_
10
- 9
_
10
So, the decimal approximation of 2/9, rounded to one decimal place, is 0.2.